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Finding the Third Proportional to 257,530.50 and 398,756.25

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Solution

The third proportional to 257,530.50 and 398,756.25 is: 617,428.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,530.50 : 398,756.25 = 398,756.25 : x
  2. Step 2: Convert to fraction form
    257,530.50/398,756.25 = 398,756.25/x
  3. Step 3: Cross multiply
    257,530.50x = 398,756.25 × 398,756.25
  4. Step 4: Simplify right side
    257,530.50x = 159,006,546,914.06
  5. Step 5: Solve for x
    x = 159,006,546,914.06/257,530.50
  6. Step 6: Final answer
    x = 617,428.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.